106848964104064
106,848,964,104,064 is an even composite number composed of six prime numbers multiplied together.
106848964104064 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 106848964104064:
27 × 7 × 13 × 172 × 307 × 103391
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 13 × 17 × 17 × 307 × 103391)See below for interesting mathematical facts about the number 106848964104064 from the Numbermatics database.
Names of 106848964104064
- Cardinal: 106848964104064 can be written as One hundred six trillion, eight hundred forty-eight billion, nine hundred sixty-four million, one hundred four thousand and sixty-four.
Scientific notation
- Scientific notation: 1.06848964104064 × 1014
Factors of 106848964104064
Divisors of 106848964104064
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 4 7 8 13 14 16 17 26 28 32 34 52 56 64 68 91 104 112 119 128 136 182 208 221 224 238 272 289 307 364 416 442 448 476 544 578 614 728 832 884 896 952 1088 1156 1228 1456 1547 1664 1768 1904 2023 2149 2176 2312 2456 2912 3094 3536 3757 3808 3991 4046 4298 4624 4912 5219 5824 6188 7072 7514 7616 7982 8092 8596 9248 9824 10438 11648 12376 14144 15028 15232 15964 16184 17192 18496 19648 20876 24752 26299 27937 28288 30056 31928 32368 34384 36533 36992 39296 41752 49504 52598 55874 60112 63856 64736 67847 68768 73066 83504 88723 99008 103391 105196 111748 120224 127712 129472 135694 137536 146132 167008 177446 198016 206782 210392 223496 240448 255424 258944 271388 275072 292264 334016 354892 413564 420784 446992 474929 480896 510848 542776 584528 621061 668032 709784 723737 827128 841568 893984 949858 1085552 1153399 1169056 1242122 1344083 1419568 1447474 1654256 1683136 1757647 1787968 1899716 2171104 2306798 2338112 2484244 2688166 2839136 2894948 3308512 3366272 3515294 3575936 3799432 4342208 4613596 4676224 4968488 5376332 5678272 5789896 6617024 7030588 7598864 8073793 8684416 9227192 9408581 9936976 10752664 11356544 11579792 12303529 13234048 14061176 15197728 16147586 18454384 18817162 19873952 21505328 22849411 23159584 24607058 28122352 29879999 30395456 31741037 32295172 36908768 37634324 39747904 43010656 45698822 46319168 49214116 56244704 59759998 60790912 63482074 64590344 73817536 75268648 79495808 86021312 91397644 92638336 98428232 112489408 119519996 126964148 129180688 147635072 150537296 159945877 172042624 182795288 196856464 209159993 222187259 224978816 239039992 253928296 258361376 301074592 319891754 365590576 388439987 393712928 412633481 418319986 444374518 478079984 507856592 516722752 539597629 602149184 639783508 731181152 776879974 787425856 825266962 836639972 888749036 956159968 1015713184 1033445504 1079195258 1204298368 1279567016 1462362304 1553759948 1574851712 1650533924 1673279944 1777498072 1912319936 2031426368 2158390516 2559134032 2719079909 2888434367 2924724608 3107519896 3301067848 3346559888 3554996144 3777183403 3824639872 4062852736 4316781032 5118268064 5438159818 5776868734 6215039792 6602135696 6693119776 7014769177 7109992288 7554366806 8633562064 9173159693 10236536128 10876319636 11553737468 12430079584 13204271392 13386239552 14029538354 14219984576 15108733612 17267124128 18346319386 20473072256 21752639272 23107474936 24860159168 26408542784 26772479104 28059076708 28439969152 30217467224 34534248256 36692638772 43505278544 46214949872 49103384239 49720318336 52817085568 56118153416 60434934448 64212117851 69068496512 73385277544 87010557088 92429899744 98206768478 112236306832 119251076009 120869868896 128424235702 146770555088 174021114176 184859799488 196413536956 224472613664 238502152018 241739737792 256848471404 293541110176 348042228352 369719598976 392827073912 448945227328 477004304036 483479475584 513696942808 587082220352 785654147824 834757532063 897890454656 954008608072 1027393885616 1174164440704 1571308295648 1669515064126 1908017216144 2054787771232 3142616591296 3339030128252 3816034432288 4109575542464 6285233182592 6678060256504 7632068864576 8219151084928 13356120513008 15264137729152 26712241026016 53424482052032 106848964104064
- Sum of all divisors σ(n): 279212097669120
- Sum of proper divisors (its aliquot sum) s(n): 172363133565056
- 106848964104064 is an abundant number, because the sum of its proper divisors (172363133565056) is greater than itself. Its abundance is 65514169460992
Bases of 106848964104064
- Binary: 110000100101101101101101000110011001111100000002
- Hexadecimal: 0x612DB68CCF80
- Base-36: 11VHQIGVWG
Squares and roots of 106848964104064
- 106848964104064 squared (1068489641040642) is 11416701130111557190221316096
- 106848964104064 cubed (1068489641040643) is 1219862689238116676605827643017315582214144
-
The
square root of 106848964104064 is 10336777.2590911525 -
The
cube root of 106848964104064 is 47452.2458722635
Scales and comparisons
How big is 106848964104064?- 106,848,964,104,064 seconds is equal to 3,397,466 years, 28 weeks, 5 days, 6 hours, 41 minutes, 4 seconds.
-
To count from 1 to 106,848,964,104,064 would take you about eight million, four hundred ninety-three thousand, six hundred sixty-six years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 106848964104064 cubic inches would be around 3954.4 feet tall.
Recreational maths with 106848964104064
- 106848964104064 backwards is 460401469848601
- The number of decimal digits it has is: 15
- The sum of 106848964104064's digits is 61
- More coming soon!
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